GCD of 461, 392, 361 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 461, 392, 361 i.e. 1 largest integer that divides all the numbers equally.

GCD of 461, 392, 361 is 1

GCD(461, 392, 361) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 461, 392, 361 is 1

GCD(461, 392, 361) = 1

GCD of 461,392,361 Calculator

GCDof 461,392,361 is 1

Given Input numbers are 461, 392, 361

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 461, 392, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 392, 361 is 1.

Therefore, GCD of numbers 461, 392, 361 is 1

Finding GCD of 461, 392, 361 using Prime Factorization

Given Input Data is 461, 392, 361

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 461 is 461

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 361 is 19 x 19

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 461, 392, 361 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(461, 392) = 180712

GCD(461, 392) = ( 461 x 392 ) / 180712

GCD(461, 392) = 180712 / 180712

GCD(461, 392) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 461, 392, 361 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 461, 392, 361

1. What is the GCD of 461, 392, 361?

GCD of 461, 392, 361 is 1


2. Where do I get the detailed procedure to find GCD of 461, 392, 361?

You can find a detailed procedure to find GCD of 461, 392, 361 on our page.


3. How to find GCD of 461, 392, 361 on a calculator?

You can find the GCD of 461, 392, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.